About
I work as research fellow at MOX - Politecnico di Milano since 2019. My main scientific interests are: advanced numerical methods for PDEs, a priori and a posteriori error analysis, computational fluid and solid mechanics, and geomechanical modelling. I am ER of the PDGeoFF project, funded by the EU in the context of MSCA International Fellowships. The aim of the project is to develop a numerical framework to evaluate risks related to human geological activities.
Publications
| [1] | MB, A. Fumagalli, and A. Scotti. “Uncertainty quantification for mineral precipitation and dissolution in fractured porous media”. Submitted July 2022. Arxiv preprint: 2207.06299. |
| [2] | MB, D. A. Di Pietro, and M. Salah. “A serendipity fully discrete div-div complex on polygonal meshes”. Submitted July 2022. Hal preprint: hal-03723495. |
| [3] | P. F. Antonietti, S. Bonetti, and MB. “Discontinuous Galerkin approximation of the fully-coupled thermo-poroelastic problem”. Submitted May 2022. Arxiv preprint: 2205.04262. |
| [4] | P. F. Antonietti, MB, and I. Mazzieri. “On mathematical and numerical modelling of multiphysics wave propagation with polytopal Discontinuous Galerkin methods: a review”. In: Vietnam J. Math. (July 2022). DOI: 10.1007/s10013-022-00566-3. |
| [5] | P. F. Antonietti, MB, I. Mazzieri, and S. Nati Poltri. “A high-order discontinuous Galerkin method for the poro-elasto-acoustic problem on polygonal and polyhedral grids”. In: SIAM J. Sci. Comput. 44.1 (Sept. 2021), pp. B1-B28. DOI: 10.1137/21M1410919. |
| [6] | L. Botti, MB, and D. A. Di Pietro. “Polyhedral Methods in Geosciences”. In: SEMA-SIMAI. Springer, July 2021. Chap. A Hybrid High-Order method for multiple-network poroelasticity, pp. 227–25. DOI: 10.1007/978-3-030-69363-3_6. |
| [7] | L. Botti, MB, and D. A. Di Pietro. “An abstract analysis framework for monolithic discretisations of poroelasticity with application to Hybrid High-Order methods”. In: Comput. Math. Appl. 91.1 (June 2021), pp. 150–175. DOI: 10.1016/j.camwa.2020.06.004.. |
| [8] | MB, D. Castanon Quiroz, D. A. Di Pietro, and A. Harnist. “A Hybrid High-Order method for creeping flows of non-Newtonian fluids”. In: ESAIM: Math. Model Numer. Anal. (Aug. 20, 2021). Accepted for publication. DOI: 10.1051/m2an/2021051. |
| [9] | MB, D. A. Di Pietro, O. Le Maˆıtre, and P. Sochala. “Numerical approximation of poroelasticity with random coefficients using Polynomial Chaos and Hybrid High-Order methods”. In: Comput. Methods Appl. Mech. Eng. 361 (Apr. 2020). DOI: 10.1016/j.cma.2019.112736. |
| [10] | MB, D. A. Di Pietro, and P. Sochala. “A Hybrid High-Order discretization method for nonlinear poroelasticity”. In: Comput. Methods Appl. Math. 20.2 (Apr. 2020), pp. 227–249. DOI: 10.1515/cmam-2018-0142. |
| [11] | MB and R. Riedlbeck. “Equilibrated stress tensor reconstruction and a posteriori error estimation for nonlinear elasticity”. In: Comput. Methods Appl. Math. 20.1 (Jan. 2020), pp. 39–59. DOI: 10.1515/cmam-2018-0012. |
| [12] | MB, D. A. Di Pietro, and A. Guglielmana. “A low-order nonconforming method for linear elasticity on general meshes”. In: Comput. Methods Appl. Mech. Eng. 354 (Sept. 2019), pp. 96–118. DOI: 10.1016/j.cma.2019. 05.031. |
| [13] | MB. “Advanced polyhedral discretization methods for poromechanical modelling”. PhD thesis. University of Montpellier, Nov. 2018. URL: https://tel.archives-ouvertes.fr/tel-01871074. |
| [14] | MB, D. A. Di Pietro, and P. Sochala. “A nonconforming high-order method for nonlinear poroelasticity”. In: Finite Volumes for Complex Applications VIII – Hyperbolic, Elliptic and Parabolic Problems. 2017, pp. 537–545 . DOI: 10.1007/978-3-319-57394-6_56. |
| [15] | MB, D. A. Di Pietro, and P. Sochala. “A Hybrid High-Order method for nonlinear elasticity”. In: SIAM J. Numer. Anal. 55.6 (Nov. 2017), pp. 2687–2717. DOI: 10.1137/16M1105943. |
| [16] | D. Boffi, MB, and D. A. Di Pietro. “A nonconforming high-order method for the Biot problem on general meshes”. In: SIAM J. Sci. Comput. 38.3 (May 2016), A1508–A1537. DOI: 10.1137/15M1025505. |
Teaching
| Academic year | Institution | Courses |
|---|---|---|
| 2022-2023 | Politecnico di Milano, Milano, Italy. | Numerical Linear Algebra. First year of the Master’s degree in High Performance Computing. |
| 2021-2022 | Politecnico di Milano, Milano, Italy. | Numerical Approximation of Mathematical Models and Applications. Second year of the Master’s degree in Management Engineering. |
| 2020-2021 | Politecnico di Milano, Milano, Italy. | Numerical Approximation of Mathematical Models and Applications. Second year of the Master’s degree in Management Engineering. |
| 2019-2020 | Politecnico di Milano, Milano, Italy. |
Numerical Modeling of Differential Problems. First year of the Master’s degree in Aeronautical Engineering. Curves and Surfaces for Design . First year of the Bachelor’s degree in Product Design. |
| 2018-2019 | Università degli Studi di Bergamo - Department of Engineering, Bergamo, Italy. |
Mathematical analysis I . First year of the Bachelor’s degree in Technologies for Health. Mathematical analysis II . Second year of the Bachelor’s degree in Computer Engineering. |
| 2017-2018 | Université de Montpellier, Montpellier, France. |
Linear Algebra and Analysis. First year of the Bachelor’s degree in Mathematics. Introduction to Scientific Calculus. First year of the Bachelor’s degree in Mathematics. |
| 2016-2017 | Université de Montpellier, Montpellier, France. |
Euclidean Geometry and Bilinear Algebra. Second year of the Bachelor’s degree in Engineering. Biomaths. First year of the Bachelor’s degree in Biological Sciences. |